Question

the median weight of newborns in a town is 3.47 kg. the first and the third quartiles are 3.21 and 3.82, respectively. which statement is most likely true? approximately 50% of newborns weigh more than 3.47 kg. approximately 25% of newborns weigh more than 3.21 kg. approximately 75% of newborns weigh between 3.21 and 3.82 kg. approximately 25% of newborns weigh between 3.21 and 3.82 kg.

Explanation:

• The median divides the data into two equal parts. So, approximately 50% of the data is less than the median and 50% is more than the median. Here, the median is \(3.47\) kg. So, approximately 50% of newborns weigh more than \(3.47\) kg.
• The first quartile (\(Q_1 = 3.21\)) means that approximately 25% of the data is less than \(Q_1\) and 75% is more than \(Q_1\).
• The inter - quartile range (\(IQR=Q_3 - Q_1\), where \(Q_3 = 3.82\) and \(Q_1 = 3.21\)) contains approximately 50% of the data.

Answer:

Approximately 50% of newborns weigh more than \(3.47\) kg.